No way, the melody is the most important thing. Writing a lot of hit songs is way more impressive than producing a lot of hit songs.
Writing a lot of hit songs is more impressive than producing them but there aren't any songwriters who can guarantee you a hit song but there are producers who can guarantee you a hit song.
Besides usually songwriters who write hit songs have a few people helping them. Most producers do it alone and its a sure thing.
The thing is, Gaga could write an album of timeless accessible pop songs that could be seen as artistic in a different way, but for some reason she chooses not to
Seems like an imaginary stanbase 
